Numerical Solutions of the Improved Boussinesq Equation by the Galerkin Quadratic B-Spline Finite Element Method

Küçük Resim Yok

Tarih

2018

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Univ Nis, Fac Sci Math

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we are going to obtain numerical solutions of the improved Boussinesq equation with the aid of Galerkin quadratic B-spline finite element method. To test the accuracy and efficiency of the current method, four test problems have been used. These are solitary wave movement, interaction of two solitary waves, wave break-up and blow-up of solutions. Their results have been compared with those available in the literature for different values of space and time steps. Also, the error norms L-2 and L-infinity have been computed and presented in comparison.

Açıklama

2nd International Conference on Advances in Natural and Applied Sciences (ICANAS) -- APR 18-21, 2017 -- Antalya, TURKEY

Anahtar Kelimeler

Improved Boussinesq equation, finite element method, Galerkin method, quadratic B-spline, solitary waves

Kaynak

Filomat

WoS Q Değeri

Q2

Scopus Q Değeri

Q3

Cilt

32

Sayı

16

Künye